TSTP Solution File: RNG029-5 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG029-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:47:28 EDT 2022
% Result : Unsatisfiable 1.41s 1.80s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG029-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 06:30:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.99 * |/ | \/ | *
% 0.60/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.99 * A. Jaeger and B. Loechner | | *
% 0.60/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 Goals:
% 0.60/0.99 ------
% 0.60/0.99
% 0.60/0.99 ( 1) multiply(multiply(cx,cy),multiply(cz,cx)) ?=? multiply(cx,multiply(multiply(cy,cz),cx))
% 0.60/0.99
% 0.60/0.99 Detected structure: NichtassoziativerRing
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 1.41/1.80 joined goal: 1 multiply(multiply(cx,cy),multiply(cz,cx)) ?= multiply(cx,multiply(multiply(cy,cz),cx)) to add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy))))
% 1.41/1.80 goal joined
% 1.41/1.80 % SZS status Unsatisfiable
% 1.41/1.80 #START OF PROOF
% 1.41/1.80 % SZS output start CNFRefutation
% 1.41/1.80 cnf('0.1.0.0',axiom,
% 1.41/1.80 ( X1 = add(X1,additive_identity) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.1.1.0',plain,
% 1.41/1.80 ( X1 = add(X1,additive_identity) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.41/1.80 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.1.2.0',plain,
% 1.41/1.80 ( add(X1,additive_identity) = X1 ),
% 1.41/1.80 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_1]).
% 1.41/1.80 cnf('0.2.0.0',axiom,
% 1.41/1.80 ( X1 = add(additive_identity,X1) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.2.1.0',plain,
% 1.41/1.80 ( X1 = add(additive_identity,X1) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.41/1.80 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.41/1.80 cnf('0.2.2.0',plain,
% 1.41/1.80 ( add(additive_identity,X1) = X1 ),
% 1.41/1.80 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_2]).
% 1.41/1.80 cnf('0.3.0.0',axiom,
% 1.41/1.80 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.3.1.0',plain,
% 1.41/1.80 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.41/1.80 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.41/1.80 cnf('0.3.2.0',plain,
% 1.41/1.80 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 1.41/1.80 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_3]).
% 1.41/1.80 cnf('0.4.0.0',axiom,
% 1.41/1.80 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.4.1.0',plain,
% 1.41/1.80 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.41/1.80 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.41/1.80 cnf('0.4.2.0',plain,
% 1.41/1.80 ( multiply(multiply(X1,X2),X2) = multiply(X1,multiply(X2,X2)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_4]).
% 1.41/1.80 cnf('0.5.0.0',axiom,
% 1.41/1.80 ( multiply(X1,multiply(X1,X2)) = multiply(multiply(X1,X1),X2) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.5.1.0',plain,
% 1.41/1.80 ( multiply(X1,multiply(X1,X2)) = multiply(multiply(X1,X1),X2) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.41/1.80 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.41/1.80 cnf('0.5.2.0',plain,
% 1.41/1.80 ( multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_5]).
% 1.41/1.80 cnf('0.6.0.0',axiom,
% 1.41/1.80 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.6.1.0',plain,
% 1.41/1.80 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.41/1.80 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.41/1.80 cnf('0.6.2.0',plain,
% 1.41/1.80 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_6]).
% 1.41/1.80 cnf('0.7.0.0',axiom,
% 1.41/1.80 ( multiply(X1,additive_identity) = additive_identity ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.7.1.0',plain,
% 1.41/1.80 ( multiply(X1,additive_identity) = additive_identity ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.41/1.80 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.41/1.80 cnf('0.7.2.0',plain,
% 1.41/1.80 ( multiply(X1,additive_identity) = additive_identity ),
% 1.41/1.80 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_7]).
% 1.41/1.80 cnf('0.8.0.0',axiom,
% 1.41/1.80 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.8.1.0',plain,
% 1.41/1.80 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.41/1.80 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.41/1.80 cnf('0.8.2.0',plain,
% 1.41/1.80 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_8]).
% 1.41/1.80 cnf('0.9.0.0',axiom,
% 1.41/1.80 ( multiply(additive_identity,X1) = additive_identity ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.9.1.0',plain,
% 1.41/1.80 ( multiply(additive_identity,X1) = additive_identity ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.41/1.80 [weight('<8,0,0,[0,0,0,9]>')]).
% 1.41/1.80 cnf('0.9.2.0',plain,
% 1.41/1.80 ( multiply(additive_identity,X1) = additive_identity ),
% 1.41/1.80 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_9]).
% 1.41/1.80 cnf('0.10.0.0',axiom,
% 1.41/1.80 ( add(X1,X2) = add(X2,X1) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.10.1.0',plain,
% 1.41/1.80 ( add(X1,X2) = add(X2,X1) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.41/1.80 [weight('<9,0,0,[0,0,0,10]>')]).
% 1.41/1.80 cnf('0.10.2.0',plain,
% 1.41/1.80 ( add(X1,X2) = add(X2,X1) ),
% 1.41/1.80 inference(activate,[status(thm)],['0.10.1.0']),
% 1.41/1.80 [equation_1]).
% 1.41/1.80 cnf('0.11.0.0',axiom,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.11.1.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.41/1.80 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.41/1.80 cnf('0.11.2.0',plain,
% 1.41/1.80 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_10]).
% 1.41/1.80 cnf('0.12.0.0',axiom,
% 1.41/1.80 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022')).
% 1.41/1.80 cnf('0.12.1.0',plain,
% 1.41/1.80 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.12.0.0']),
% 1.41/1.80 [weight('<11,0,0,[0,0,0,12]>')]).
% 1.41/1.80 cnf('0.12.2.0',plain,
% 1.41/1.80 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.41/1.80 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_11]).
% 1.41/1.80 cnf('0.16.0.0',plain,
% 1.41/1.80 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.11.2.0','0.12.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.16.0.1',plain,
% 1.41/1.80 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.16.0.0','0.2.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.16.1.0',plain,
% 1.41/1.80 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.16.0.1']),
% 1.41/1.80 [weight('<6,12,11,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.16.2.0',plain,
% 1.41/1.80 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.41/1.80 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_15]).
% 1.41/1.80 cnf('0.17.0.0',plain,
% 1.41/1.80 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.16.2.0','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.1','L')]).
% 1.41/1.80 cnf('0.17.1.0',plain,
% 1.41/1.80 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.41/1.80 [weight('<6,16,3,[1,0,0,3]>')]).
% 1.41/1.80 cnf('0.17.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(X1),add(X1,X2)) = X2 ),
% 1.41/1.80 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_16]).
% 1.41/1.80 cnf('0.18.0.0',plain,
% 1.41/1.80 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.16.2.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.18.1.0',plain,
% 1.41/1.80 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.41/1.80 [weight('<6,16,10,[1,0,0,2]>')]).
% 1.41/1.80 cnf('0.18.2.0',plain,
% 1.41/1.80 ( add(X1,add(X2,additive_inverse(X1))) = X2 ),
% 1.41/1.80 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_17]).
% 1.41/1.80 cnf('0.19.0.0',plain,
% 1.41/1.80 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.17.2.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.19.1.0',plain,
% 1.41/1.80 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.19.0.0']),
% 1.41/1.80 [weight('<6,17,10,[1,0,0,3]>')]).
% 1.41/1.80 cnf('0.19.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(X1),add(X2,X1)) = X2 ),
% 1.41/1.80 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_18]).
% 1.41/1.80 cnf('0.20.0.0',plain,
% 1.41/1.80 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.19.2.0','0.17.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.20.1.0',plain,
% 1.41/1.80 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.41/1.80 [weight('<6,19,17,[1,0,0,3]>')]).
% 1.41/1.80 cnf('0.20.1.1',plain,
% 1.41/1.80 ( additive_inverse(X1) = add(X2,additive_inverse(add(X1,X2))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.20.1.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.20.2.0',plain,
% 1.41/1.80 ( add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.20.1.1',theory(equality)]),
% 1.41/1.80 [x,rule_19]).
% 1.41/1.80 cnf('0.21.0.0',plain,
% 1.41/1.80 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.17.2.0','0.20.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.21.1.0',plain,
% 1.41/1.80 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.21.0.0']),
% 1.41/1.80 [weight('<4,20,17,[0,0,0,3]>')]).
% 1.41/1.80 cnf('0.21.2.0',plain,
% 1.41/1.80 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_20]).
% 1.41/1.80 cnf('0.24.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = multiply(X1,additive_identity) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.24.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.24.0.0','0.7.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.24.1.0',plain,
% 1.41/1.80 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.24.0.1']),
% 1.41/1.80 [weight('<8,12,6,[0,0,0,2]>')]).
% 1.41/1.80 cnf('0.24.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 1.41/1.80 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_23]).
% 1.41/1.80 cnf('0.25.0.0',plain,
% 1.41/1.80 ( multiply(X1,additive_inverse(X2)) = add(additive_inverse(multiply(X1,X2)),additive_identity) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.17.2.0','0.24.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.25.0.1',plain,
% 1.41/1.80 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.25.0.0','0.1.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.25.1.0',plain,
% 1.41/1.80 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.25.0.1']),
% 1.41/1.80 [weight('<4,24,17,[0,0,0,3]>')]).
% 1.41/1.80 cnf('0.25.2.0',plain,
% 1.41/1.80 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_24]).
% 1.41/1.80 cnf('0.28.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = multiply(additive_identity,X2) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.8.2.0','0.12.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.28.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.28.0.0','0.9.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.28.1.0',plain,
% 1.41/1.80 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.28.0.1']),
% 1.41/1.80 [weight('<8,12,8,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.28.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 1.41/1.80 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_27]).
% 1.41/1.80 cnf('0.29.0.0',plain,
% 1.41/1.80 ( multiply(additive_inverse(X1),X2) = add(additive_inverse(multiply(X1,X2)),additive_identity) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.17.2.0','0.28.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.29.0.1',plain,
% 1.41/1.80 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.29.0.0','0.1.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.29.1.0',plain,
% 1.41/1.80 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.29.0.1']),
% 1.41/1.80 [weight('<4,28,17,[0,0,0,3]>')]).
% 1.41/1.80 cnf('0.29.2.0',plain,
% 1.41/1.80 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_28]).
% 1.41/1.80 cnf('0.32.0.0',plain,
% 1.41/1.80 ( add(additive_inverse(X1),add(add(X2,X1),X3)) = add(X2,X3) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.11.2.0','0.19.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.32.0.1',plain,
% 1.41/1.80 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.32.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.32.1.0',plain,
% 1.41/1.80 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.32.0.1']),
% 1.41/1.80 [weight('<8,19,11,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.32.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_31]).
% 1.41/1.80 cnf('0.33.0.0',plain,
% 1.41/1.80 ( add(X1,X2) = add(additive_inverse(X3),add(X1,add(X2,X3))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.19.2.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.33.1.0',plain,
% 1.41/1.80 ( add(X1,X2) = add(additive_inverse(X3),add(X1,add(X2,X3))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.33.0.0']),
% 1.41/1.80 [weight('<8,19,11,[1,0,0,3]>')]).
% 1.41/1.80 cnf('0.33.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(X1),add(X2,add(X3,X1))) = add(X2,X3) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_32]).
% 1.41/1.80 cnf('0.34.0.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.11.2.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.34.1.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.34.0.0']),
% 1.41/1.80 [weight('<10,11,10,[1,0,0,0]>')]).
% 1.41/1.80 cnf('0.34.2.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.41/1.80 inference(activate,[status(thm)],['0.34.1.0']),
% 1.41/1.80 [equation_2]).
% 1.41/1.80 cnf('0.35.0.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(add(X2,X1),X3) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.11.2.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.35.0.1',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.35.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.35.1.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.35.0.1']),
% 1.41/1.80 [weight('<10,11,10,[1,0,0,1]>')]).
% 1.41/1.80 cnf('0.35.2.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.41/1.80 inference(activate,[status(thm)],['0.35.1.0']),
% 1.41/1.80 [equation_3]).
% 1.41/1.80 cnf('0.39.0.0',plain,
% 1.41/1.80 ( add(add(X1,X2),X3) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.33.2.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.39.0.1',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.39.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.39.1.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.39.0.1']),
% 1.41/1.80 [weight('<10,33,11,[1,0,0,3]>')]).
% 1.41/1.80 cnf('0.39.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(X1),add(X2,add(X3,add(X4,X1)))) = add(X2,add(X3,X4)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_36]).
% 1.41/1.80 cnf('0.40.0.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.34.2.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('0.40.1.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.41/1.80 [weight('<10,34,10,[1,1,0,2]>')]).
% 1.41/1.80 cnf('0.40.2.0',plain,
% 1.41/1.80 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 1.41/1.80 inference(activate,[status(thm)],['0.40.1.0']),
% 1.41/1.80 [equation_4]).
% 1.41/1.80 cnf('0.41.0.0',plain,
% 1.41/1.80 ( multiply(add(X1,X2),multiply(add(X1,X2),X3)) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.41.1.0',plain,
% 1.41/1.80 ( multiply(add(X1,X2),multiply(add(X1,X2),X3)) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.41.0.0']),
% 1.41/1.80 [weight('<13,6,5,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.41.1.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(add(X1,X2),X3)),multiply(X2,multiply(add(X1,X2),X3))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.0','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.41.1.2',plain,
% 1.41/1.80 ( add(multiply(X1,add(multiply(X1,X3),multiply(X2,X3))),multiply(X2,multiply(add(X1,X2),X3))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.1','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1.2','L')]).
% 1.41/1.80 cnf('0.41.1.3',plain,
% 1.41/1.80 ( add(add(multiply(X1,multiply(X1,X3)),multiply(X1,multiply(X2,X3))),multiply(X2,multiply(add(X1,X2),X3))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.2','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.41.1.4',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),multiply(X2,multiply(add(X1,X2),X3)))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.3','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.41.1.5',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),multiply(X2,add(multiply(X1,X3),multiply(X2,X3))))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.4','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2.2','L')]).
% 1.41/1.80 cnf('0.41.1.6',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.5','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2','L')]).
% 1.41/1.80 cnf('0.41.1.7',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(multiply(add(X1,X2),X1),X3),multiply(multiply(add(X1,X2),X2),X3)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.6','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.41.1.8',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(add(multiply(X1,X1),multiply(X2,X1)),X3),multiply(multiply(add(X1,X2),X2),X3)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.7','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1.1','L')]).
% 1.41/1.80 cnf('0.41.1.9',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(add(multiply(multiply(X1,X1),X3),multiply(multiply(X2,X1),X3)),multiply(multiply(add(X1,X2),X2),X3)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.8','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1','L')]).
% 1.41/1.80 cnf('0.41.1.10',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(multiply(X1,X1),X3),add(multiply(multiply(X2,X1),X3),multiply(multiply(add(X1,X2),X2),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.9','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.41.1.11',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),multiply(multiply(add(X1,X2),X2),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.10','0.5.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1','L')]).
% 1.41/1.80 cnf('0.41.1.12',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),multiply(add(multiply(X1,X2),multiply(X2,X2)),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.11','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.1','L')]).
% 1.41/1.80 cnf('0.41.1.13',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X2),X3)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.12','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2','L')]).
% 1.41/1.80 cnf('0.41.1.14',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),add(multiply(multiply(X1,X2),X3),multiply(X2,multiply(X2,X3))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.13','0.5.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.2','L')]).
% 1.41/1.80 cnf('0.41.1.15',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),add(multiply(X2,multiply(X2,X3)),multiply(multiply(X1,X2),X3)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.14','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2','L')]).
% 1.41/1.80 cnf('0.41.1.16',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(X2,multiply(X2,X3)),add(multiply(multiply(X2,X1),X3),multiply(multiply(X1,X2),X3)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.41.1.15','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('0.41.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X3),X2),multiply(multiply(X3,X1),X2))) = add(multiply(X3,multiply(X1,X2)),add(multiply(X1,multiply(X3,X2)),multiply(X1,multiply(X1,X2)))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.41.1.16',theory(equality)]),
% 1.41/1.80 [x,rule_37]).
% 1.41/1.80 cnf('0.42.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3)))) = add(multiply(X2,multiply(X2,X3)),add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.41.2.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.42.1.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3)))) = add(multiply(X2,multiply(X2,X3)),add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.41/1.80 [weight('<17,41,0,[1,0,0,6]>')]).
% 1.41/1.80 cnf('0.42.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X3,X1),X2),multiply(multiply(X1,X3),X2))) = add(multiply(X3,multiply(X1,X2)),add(multiply(X1,multiply(X3,X2)),multiply(X1,multiply(X1,X2)))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_38]).
% 1.41/1.80 cnf('0.43.0.0',plain,
% 1.41/1.80 ( add(X1,add(multiply(multiply(X2,X3),X4),multiply(multiply(X3,X2),X4))) = add(additive_inverse(multiply(X3,multiply(X3,X4))),add(X1,add(multiply(X2,multiply(X3,X4)),add(multiply(X3,multiply(X2,X4)),multiply(X3,multiply(X3,X4)))))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.32.2.0','0.42.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2','L')]).
% 1.41/1.80 cnf('0.43.0.1',plain,
% 1.41/1.80 ( add(X1,add(multiply(multiply(X2,X3),X4),multiply(multiply(X3,X2),X4))) = add(X1,add(multiply(X2,multiply(X3,X4)),multiply(X3,multiply(X2,X4)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.43.0.0','0.39.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.43.1.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X2,X3),X4),multiply(multiply(X3,X2),X4)) = add(multiply(X2,multiply(X3,X4)),multiply(X3,multiply(X2,X4))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.43.0.1']),
% 1.41/1.80 [weight('<11,42,32,[0,0,0,5]>')]).
% 1.41/1.80 cnf('0.43.2.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3)) = add(multiply(X1,multiply(X2,X3)),multiply(X2,multiply(X1,X3))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_39]).
% 1.41/1.80 cnf('0.44.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X2)),multiply(X2,multiply(X1,X2))) = add(multiply(X1,multiply(X2,X2)),multiply(multiply(X2,X1),X2)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.43.2.0','0.4.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.44.1.0',plain,
% 1.41/1.80 ( multiply(X2,multiply(X1,X2)) = multiply(multiply(X2,X1),X2) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.44.0.0']),
% 1.41/1.80 [weight('<5,43,4,[1,0,0,1]>')]).
% 1.41/1.80 cnf('0.44.2.0',plain,
% 1.41/1.80 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_40]).
% 1.41/1.80 cnf('0.49.0.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X2,X1),X3),X4)) = add(add(multiply(X1,multiply(X2,X3)),multiply(X2,multiply(X1,X3))),X4) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.11.2.0','0.43.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.49.0.1',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X2,X1),X3),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),X4)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.49.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.49.1.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X2,X1),X3),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),X4)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.49.0.1']),
% 1.41/1.80 [weight('<13,43,11,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.49.2.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X2,X1),X3),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),X4)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_45]).
% 1.41/1.80 cnf('0.63.0.0',plain,
% 1.41/1.80 ( multiply(add(X1,X2),multiply(X3,add(X1,X2))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.44.2.0','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.63.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,add(X1,X2))),multiply(X2,multiply(X3,add(X1,X2)))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.0','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.63.0.2',plain,
% 1.41/1.80 ( add(multiply(X1,add(multiply(X3,X1),multiply(X3,X2))),multiply(X2,multiply(X3,add(X1,X2)))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.1','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1.2','L')]).
% 1.41/1.80 cnf('0.63.0.3',plain,
% 1.41/1.80 ( add(add(multiply(X1,multiply(X3,X1)),multiply(X1,multiply(X3,X2))),multiply(X2,multiply(X3,add(X1,X2)))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.2','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.63.0.4',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),multiply(X2,multiply(X3,add(X1,X2))))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.3','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.63.0.5',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),multiply(X2,add(multiply(X3,X1),multiply(X3,X2))))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.4','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2.2','L')]).
% 1.41/1.80 cnf('0.63.0.6',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.5','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2','L')]).
% 1.41/1.80 cnf('0.63.0.7',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(multiply(X1,X3),add(X1,X2)),multiply(multiply(X2,X3),add(X1,X2))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.6','0.8.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.63.0.8',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(add(multiply(multiply(X1,X3),X1),multiply(multiply(X1,X3),X2)),multiply(multiply(X2,X3),add(X1,X2))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.7','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1','L')]).
% 1.41/1.80 cnf('0.63.0.9',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(multiply(X1,X3),X1),add(multiply(multiply(X1,X3),X2),multiply(multiply(X2,X3),add(X1,X2)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.8','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.63.0.10',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(X1,multiply(X3,X1)),add(multiply(multiply(X1,X3),X2),multiply(multiply(X2,X3),add(X1,X2)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.9','0.44.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1','L')]).
% 1.41/1.80 cnf('0.63.0.11',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(X1,multiply(X3,X1)),add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X2,X3),X1),multiply(multiply(X2,X3),X2)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.10','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2','L')]).
% 1.41/1.80 cnf('0.63.0.12',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(X1,multiply(X3,X1)),add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X2,X3),X1),multiply(X2,multiply(X3,X2))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.0.11','0.44.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.2','L')]).
% 1.41/1.80 cnf('0.63.1.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2)))) = add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X2,X3),X1),multiply(X2,multiply(X3,X2)))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.63.0.12']),
% 1.41/1.80 [weight('<17,44,8,[1,0,0,1]>')]).
% 1.41/1.80 cnf('0.63.1.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2)))) = add(multiply(multiply(X1,X3),X2),add(multiply(X2,multiply(X3,X2)),multiply(multiply(X2,X3),X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.63.1.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('0.63.2.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(multiply(X3,multiply(X2,X3)),multiply(multiply(X3,X2),X1))) = add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),multiply(X3,multiply(X2,X3)))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.63.1.1',theory(equality)]),
% 1.41/1.80 [x,rule_59]).
% 1.41/1.80 cnf('0.64.0.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(additive_inverse(multiply(X3,multiply(X2,X3))),add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),multiply(X3,multiply(X2,X3))))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.32.2.0','0.63.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.64.0.1',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.64.0.0','0.33.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.64.1.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.64.0.1']),
% 1.41/1.80 [weight('<11,63,32,[0,0,0,3]>')]).
% 1.41/1.80 cnf('0.64.2.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_60]).
% 1.41/1.80 cnf('0.152.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = add(multiply(multiply(X1,X2),X3),additive_identity) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.49.2.0','0.12.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.152.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.152.0.0','0.1.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.152.1.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.152.0.1']),
% 1.41/1.80 [weight('<23,49,12,[1,0,0,6]>')]).
% 1.41/1.80 cnf('0.152.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.41/1.80 inference(activate,[status(thm)],['0.152.1.0']),
% 1.41/1.80 [equation_6]).
% 1.41/1.80 cnf('0.153.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) = add(add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))),multiply(multiply(X3,X2),X1)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.64.2.0','0.152.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','R')]).
% 1.41/1.80 cnf('0.153.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) = add(multiply(X1,multiply(X2,X3)),add(add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3))),multiply(multiply(X3,X2),X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.153.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.153.0.2',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),multiply(multiply(X3,X2),X1)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.153.0.1','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('0.153.1.0',plain,
% 1.41/1.80 ( multiply(X3,multiply(X2,X1)) = add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),multiply(multiply(X3,X2),X1))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.153.0.2']),
% 1.41/1.80 [weight('<18,152,64,[0,1,0,1]>')]).
% 1.41/1.80 cnf('0.153.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X3,X1),X2))) = multiply(X3,multiply(X1,X2)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_147]).
% 1.41/1.80 cnf('0.157.0.0',plain,
% 1.41/1.80 ( multiply(additive_inverse(X1),multiply(X2,X3)) = add(multiply(X2,additive_inverse(multiply(X3,X1))),add(additive_inverse(multiply(multiply(X2,X3),additive_inverse(X1))),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.153.2.0','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1.2','L')]).
% 1.41/1.80 cnf('0.157.0.1',plain,
% 1.41/1.80 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(multiply(X2,additive_inverse(multiply(X3,X1))),add(additive_inverse(multiply(multiply(X2,X3),additive_inverse(X1))),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.157.0.0','0.29.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.157.0.2',plain,
% 1.41/1.80 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(additive_inverse(multiply(multiply(X2,X3),additive_inverse(X1))),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.157.0.1','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1','L')]).
% 1.41/1.80 cnf('0.157.0.3',plain,
% 1.41/1.80 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(additive_inverse(additive_inverse(multiply(multiply(X2,X3),X1))),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.157.0.2','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.1.1','L')]).
% 1.41/1.80 cnf('0.157.0.4',plain,
% 1.41/1.80 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.157.0.3','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.1','L')]).
% 1.41/1.80 cnf('0.157.0.5',plain,
% 1.41/1.80 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),multiply(additive_inverse(multiply(X1,X2)),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.157.0.4','0.29.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.1','L')]).
% 1.41/1.80 cnf('0.157.0.6',plain,
% 1.41/1.80 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),additive_inverse(multiply(multiply(X1,X2),X3)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.157.0.5','0.29.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2','L')]).
% 1.41/1.80 cnf('0.157.1.0',plain,
% 1.41/1.80 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),additive_inverse(multiply(multiply(X1,X2),X3)))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.157.0.6']),
% 1.41/1.80 [weight('<19,153,25,[1,0,0,3]>')]).
% 1.41/1.80 cnf('0.157.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X3,X1),X2)))) = additive_inverse(multiply(X3,multiply(X1,X2))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_151]).
% 1.41/1.80 cnf('0.158.0.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X3,X1),X2))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.16.2.0','0.157.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.158.1.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X3,X1),X2))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.158.0.0']),
% 1.41/1.80 [weight('<12,157,16,[0,0,0,2]>')]).
% 1.41/1.80 cnf('0.158.2.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X3,X1),X2))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_152]).
% 1.41/1.80 cnf('0.159.0.0',plain,
% 1.41/1.80 ( add(additive_inverse(additive_inverse(multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X2,X3),X1))) = additive_inverse(add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(X1,multiply(X2,X3))))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.21.2.0','0.158.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.159.0.1',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = additive_inverse(add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(X1,multiply(X2,X3))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.159.0.0','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.159.0.2',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = add(additive_inverse(additive_inverse(multiply(X1,multiply(X2,X3)))),additive_inverse(multiply(X2,multiply(X3,X1)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.159.0.1','0.21.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.159.0.3',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.159.0.2','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1','L')]).
% 1.41/1.80 cnf('0.159.1.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.159.0.3']),
% 1.41/1.80 [weight('<12,158,21,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.159.2.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_153]).
% 1.41/1.80 cnf('0.161.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,additive_inverse(X3))),additive_inverse(multiply(X2,multiply(additive_inverse(X3),X1)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.159.2.0','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.161.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,additive_inverse(multiply(X2,X3))),additive_inverse(multiply(X2,multiply(additive_inverse(X3),X1)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.161.0.0','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1.2','L')]).
% 1.41/1.80 cnf('0.161.0.2',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(multiply(X2,multiply(additive_inverse(X3),X1)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.161.0.1','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.161.0.3',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(multiply(X2,additive_inverse(multiply(X3,X1))))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.161.0.2','0.29.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.1.2','L')]).
% 1.41/1.80 cnf('0.161.0.4',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(additive_inverse(multiply(X2,multiply(X3,X1))))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.161.0.3','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.1','L')]).
% 1.41/1.80 cnf('0.161.0.5',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,multiply(X3,X1))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.161.0.4','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.161.0.6',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,multiply(X3,X1))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(additive_inverse(multiply(X2,X3)),X1))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.161.0.5','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.1.1','L')]).
% 1.41/1.80 cnf('0.161.0.7',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,multiply(X3,X1))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.161.0.6','0.29.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.1','L')]).
% 1.41/1.80 cnf('0.161.0.8',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,multiply(X3,X1))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X2,X3),X1)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.161.0.7','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('0.161.1.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,multiply(X3,X1))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X2,X3),X1)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.161.0.8']),
% 1.41/1.80 [weight('<12,159,25,[1,0,0,1]>')]).
% 1.41/1.80 cnf('0.161.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X2,X3),X1)) = add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,multiply(X3,X1))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_155]).
% 1.41/1.80 cnf('0.165.0.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(multiply(X1,X2),X3)),add(multiply(multiply(X2,X3),X1),X4)) = add(add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,multiply(X3,X1))),X4) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.11.2.0','0.161.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.165.0.1',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(multiply(X1,X2),X3)),add(multiply(multiply(X2,X3),X1),X4)) = add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(X2,multiply(X3,X1)),X4)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.165.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.165.1.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(multiply(X1,X2),X3)),add(multiply(multiply(X2,X3),X1),X4)) = add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(X2,multiply(X3,X1)),X4)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.165.0.1']),
% 1.41/1.80 [weight('<14,161,11,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.165.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(multiply(X1,X2),X3)),add(multiply(multiply(X2,X3),X1),X4)) = add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(X2,multiply(X3,X1)),X4)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_159]).
% 1.41/1.80 cnf('0.216.0.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3))),add(multiply(X2,multiply(X3,multiply(X1,X2))),X4)) = add(additive_inverse(multiply(multiply(X1,multiply(X2,X2)),X3)),add(multiply(multiply(X2,X3),multiply(X1,X2)),X4)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.165.2.0','0.4.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1.1.1','L')]).
% 1.41/1.80 cnf('0.216.1.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3))),add(multiply(X2,multiply(X3,multiply(X1,X2))),X4)) = add(additive_inverse(multiply(multiply(X1,multiply(X2,X2)),X3)),add(multiply(multiply(X2,X3),multiply(X1,X2)),X4)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.216.0.0']),
% 1.41/1.80 [weight('<18,165,4,[1,0,0,3]>')]).
% 1.41/1.80 cnf('0.216.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(multiply(X1,multiply(X2,X2)),X3)),add(multiply(multiply(X2,X3),multiply(X1,X2)),X4)) = add(additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3))),add(multiply(X2,multiply(X3,multiply(X1,X2))),X4)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_210]).
% 1.41/1.80 cnf('0.234.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) = add(add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))),additive_inverse(multiply(multiply(X2,X3),X1))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.159.2.0','0.152.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','R')]).
% 1.41/1.80 cnf('0.234.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) = add(multiply(X1,multiply(X2,X3)),add(add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3))),additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.234.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.234.0.2',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),additive_inverse(multiply(multiply(X2,X3),X1))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.234.0.1','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('0.234.1.0',plain,
% 1.41/1.80 ( additive_inverse(multiply(X2,multiply(X3,X1))) = add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.234.0.2']),
% 1.41/1.80 [weight('<19,159,152,[1,0,1,1]>')]).
% 1.41/1.80 cnf('0.234.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X1,X3),X2)))) = additive_inverse(multiply(X1,multiply(X3,X2))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.234.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_228]).
% 1.41/1.80 cnf('0.235.0.0',plain,
% 1.41/1.80 ( add(additive_inverse(add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X1,X3),X2)))),additive_inverse(multiply(X1,multiply(X2,X3)))) = additive_inverse(additive_inverse(multiply(X1,multiply(X3,X2)))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.21.2.0','0.234.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.235.0.1',plain,
% 1.41/1.80 ( add(add(additive_inverse(additive_inverse(multiply(multiply(X1,X3),X2))),additive_inverse(additive_inverse(multiply(multiply(X1,X2),X3)))),additive_inverse(multiply(X1,multiply(X2,X3)))) = additive_inverse(additive_inverse(multiply(X1,multiply(X3,X2)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.235.0.0','0.21.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.235.0.2',plain,
% 1.41/1.80 ( add(additive_inverse(additive_inverse(multiply(multiply(X1,X3),X2))),add(additive_inverse(additive_inverse(multiply(multiply(X1,X2),X3))),additive_inverse(multiply(X1,multiply(X2,X3))))) = additive_inverse(additive_inverse(multiply(X1,multiply(X3,X2)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.235.0.1','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.235.0.3',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X3),X2),add(additive_inverse(additive_inverse(multiply(multiply(X1,X2),X3))),additive_inverse(multiply(X1,multiply(X2,X3))))) = additive_inverse(additive_inverse(multiply(X1,multiply(X3,X2)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.235.0.2','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.235.0.4',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3))))) = additive_inverse(additive_inverse(multiply(X1,multiply(X3,X2)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.235.0.3','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.1','L')]).
% 1.41/1.80 cnf('0.235.0.5',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3))))) = multiply(X1,multiply(X3,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.235.0.4','0.3.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.235.1.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3))))) = multiply(X1,multiply(X3,X2)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.235.0.5']),
% 1.41/1.80 [weight('<18,234,21,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.235.1.1',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X3),X2),add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3))) = multiply(X1,multiply(X3,X2)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.235.1.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.235.2.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(X1,multiply(X3,X2))),multiply(multiply(X1,X3),X2))) = multiply(X1,multiply(X2,X3)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.235.1.1',theory(equality)]),
% 1.41/1.80 [u,rule_229]).
% 1.41/1.80 cnf('0.253.0.0',plain,
% 1.41/1.80 ( add(add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)),add(X4,multiply(multiply(X1,X3),X2))) = add(X4,multiply(X1,multiply(X3,X2))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.34.2.0','0.235.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.253.0.1',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X1,X3),X2)))) = add(X4,multiply(X1,multiply(X3,X2))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.253.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.253.1.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X1,X3),X2)))) = add(X4,multiply(X1,multiply(X3,X2))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.253.0.1']),
% 1.41/1.80 [weight('<20,235,34,[0,0,0,2]>')]).
% 1.41/1.80 cnf('0.253.2.0',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X1,X3),X2)))) = add(X4,multiply(X1,multiply(X3,X2))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.253.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_247]).
% 1.41/1.80 cnf('0.254.0.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X1,X3),X2))) = add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X1,multiply(X3,X2)))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.16.2.0','0.253.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.254.1.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X1,X3),X2))) = add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X1,multiply(X3,X2)))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.254.0.0']),
% 1.41/1.80 [weight('<13,253,16,[0,0,0,2]>')]).
% 1.41/1.80 cnf('0.254.2.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X1,X3),X2))) = add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X1,multiply(X3,X2)))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.254.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_248]).
% 1.41/1.80 cnf('0.284.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X1,multiply(X3,X2)))) = add(add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))),add(X4,multiply(multiply(X1,X3),X2))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.254.2.0','0.152.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','R')]).
% 1.41/1.80 cnf('0.284.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X1,multiply(X3,X2)))) = add(multiply(X1,multiply(X2,X3)),add(add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3))),add(X4,multiply(multiply(X1,X3),X2)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.284.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.284.0.2',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X1,multiply(X3,X2)))) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),add(X4,multiply(multiply(X1,X3),X2))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.284.0.1','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('0.284.1.0',plain,
% 1.41/1.80 ( add(X4,multiply(X1,multiply(X3,X2))) = add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),add(X4,multiply(multiply(X1,X3),X2)))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.284.0.2']),
% 1.41/1.80 [weight('<20,254,152,[1,0,1,1]>')]).
% 1.41/1.80 cnf('0.284.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(multiply(X1,X2),X3)),add(X4,multiply(multiply(X2,X3),X1)))) = add(X4,multiply(X2,multiply(X3,X1))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.284.1.0',theory(equality)]),
% 1.41/1.80 [x,rule_278]).
% 1.41/1.80 cnf('0.289.0.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),multiply(X3,X1)),multiply(multiply(X1,X1),multiply(X2,X3))) = add(multiply(X3,multiply(multiply(X1,X1),X2)),add(additive_inverse(multiply(multiply(X3,X1),multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(multiply(multiply(X1,X1),X2),X3)))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.284.2.0','0.216.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.289.0.1',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),multiply(X3,X1)),multiply(X1,multiply(X1,multiply(X2,X3)))) = add(multiply(X3,multiply(multiply(X1,X1),X2)),add(additive_inverse(multiply(multiply(X3,X1),multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(multiply(multiply(X1,X1),X2),X3)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.289.0.0','0.5.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.289.0.2',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),multiply(X3,X1)),multiply(X1,multiply(X1,multiply(X2,X3)))) = add(multiply(X3,multiply(X1,multiply(X1,X2))),add(additive_inverse(multiply(multiply(X3,X1),multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(multiply(multiply(X1,X1),X2),X3)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.289.0.1','0.5.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1.2','L')]).
% 1.41/1.80 cnf('0.289.0.3',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),multiply(X3,X1)),multiply(X1,multiply(X1,multiply(X2,X3)))) = add(multiply(X3,multiply(X1,multiply(X1,X2))),add(additive_inverse(multiply(multiply(X3,X1),multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(multiply(X1,multiply(X1,X2)),X3)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.289.0.2','0.5.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.2.1','L')]).
% 1.41/1.80 cnf('0.289.0.4',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),multiply(X3,X1)),multiply(X1,multiply(X1,multiply(X2,X3)))) = add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(X1,multiply(multiply(X1,X2),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.289.0.3','0.284.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.289.1.0',plain,
% 1.41/1.80 ( add(multiply(multiply(X1,X2),multiply(X3,X1)),multiply(X1,multiply(X1,multiply(X2,X3)))) = add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(X1,multiply(multiply(X1,X2),X3))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.289.0.4']),
% 1.41/1.80 [weight('<15,284,216,[1,0,0,6]>')]).
% 1.41/1.80 cnf('0.289.1.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X1))) = add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(X1,multiply(multiply(X1,X2),X3))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.289.1.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.289.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X1))) = add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(X1,multiply(multiply(X1,X2),X3))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.289.1.1',theory(equality)]),
% 1.41/1.80 [u,rule_283]).
% 1.41/1.80 cnf('0.303.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),multiply(X3,X1)),X4)) = add(add(multiply(X1,multiply(X2,multiply(X3,X1))),multiply(X1,multiply(multiply(X1,X2),X3))),X4) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.11.2.0','0.289.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('0.303.0.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),multiply(X3,X1)),X4)) = add(multiply(X1,multiply(X2,multiply(X3,X1))),add(multiply(X1,multiply(multiply(X1,X2),X3)),X4)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.303.0.0','0.11.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.303.1.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),multiply(X3,X1)),X4)) = add(multiply(X1,multiply(X2,multiply(X3,X1))),add(multiply(X1,multiply(multiply(X1,X2),X3)),X4)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.303.0.1']),
% 1.41/1.80 [weight('<17,289,11,[0,0,0,1]>')]).
% 1.41/1.80 cnf('0.303.2.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),multiply(X3,X1)),X4)) = add(multiply(X1,multiply(X2,multiply(X3,X1))),add(multiply(X1,multiply(multiply(X1,X2),X3)),X4)) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.303.1.0',theory(equality)]),
% 1.41/1.80 [u,rule_297]).
% 1.41/1.80 cnf('0.304.0.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,multiply(X3,X1))),add(multiply(X1,multiply(multiply(X1,X2),X3)),additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))))) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.303.2.0','0.18.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('0.304.1.0',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,multiply(X3,X1))),add(multiply(X1,multiply(multiply(X1,X2),X3)),additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))))) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.304.0.0']),
% 1.41/1.80 [weight('<7,303,18,[1,0,0,0]>')]).
% 1.41/1.80 cnf('0.304.1.1',plain,
% 1.41/1.80 ( add(multiply(X1,multiply(X2,multiply(X3,X1))),add(additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))),multiply(X1,multiply(multiply(X1,X2),X3)))) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.304.1.0','0.10.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.304.2.0',plain,
% 1.41/1.80 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(multiply(X1,multiply(X2,multiply(X3,X1))),add(additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))),multiply(X1,multiply(multiply(X1,X2),X3)))) ),
% 1.41/1.80 inference(orient,[status(thm)],['0.304.1.1',theory(equality)]),
% 1.41/1.80 [x,rule_298]).
% 1.41/1.80 cnf('0.397.0.0',plain,
% 1.41/1.80 ( multiply(multiply(X1,X2),X3) = add(multiply(multiply(X3,X1),X2),add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2))))) ),
% 1.41/1.80 inference(cp,[status(thm)],['0.18.2.0','0.158.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('0.397.1.0',plain,
% 1.41/1.80 ( multiply(multiply(X1,X2),X3) = add(multiply(multiply(X3,X1),X2),add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2))))) ),
% 1.41/1.80 inference(weigh,[status(thm)],['0.397.0.0']),
% 1.41/1.80 [weight('<23,158,18,[0,0,0,2]>')]).
% 1.41/1.80 cnf('0.397.1.1',plain,
% 1.41/1.80 ( multiply(multiply(X1,X2),X3) = add(additive_inverse(multiply(X3,multiply(X1,X2))),add(multiply(multiply(X3,X1),X2),multiply(X1,multiply(X2,X3)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['0.397.1.0','0.34.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('0.397.2.0',plain,
% 1.41/1.80 ( multiply(multiply(X1,X2),X3) = add(additive_inverse(multiply(X3,multiply(X1,X2))),add(multiply(multiply(X3,X1),X2),multiply(X1,multiply(X2,X3)))) ),
% 1.41/1.80 inference(activate,[status(thm)],['0.397.1.1']),
% 1.41/1.80 [equation_15]).
% 1.41/1.80 cnf('1.0.0.0',conjecture,
% 1.41/1.80 ( multiply(multiply(cx,cy),multiply(cz,cx)) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 file('/tmp/WALDMEISTER_31872_n022',conjecture_1)).
% 1.41/1.80 cnf('1.0.0.1',plain,
% 1.41/1.80 ( add(multiply(cx,multiply(cy,multiply(cz,cx))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),multiply(cx,multiply(multiply(cx,cy),cz)))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.0','0.304.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('1.0.0.2',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cx,cy),cz)))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.1','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('1.0.0.3',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(additive_inverse(multiply(cz,multiply(cx,cy))),add(multiply(multiply(cz,cx),cy),multiply(cx,multiply(cy,cz))))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.2','0.397.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.4',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(multiply(cx,multiply(cy,cz)),add(multiply(multiply(cz,cx),cy),additive_inverse(multiply(cz,multiply(cx,cy)))))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.3','0.40.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.5',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(additive_inverse(multiply(cz,multiply(cx,cy))),add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.4','0.34.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.6',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),add(multiply(cx,additive_inverse(multiply(cz,multiply(cx,cy)))),multiply(cx,add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.5','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.7',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,additive_inverse(multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.6','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('1.0.0.8',plain,
% 1.41/1.80 ( add(multiply(cx,additive_inverse(multiply(cz,multiply(cx,cy)))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.7','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('L','L')]).
% 1.41/1.80 cnf('1.0.0.9',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.8','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.1','L')]).
% 1.41/1.80 cnf('1.0.0.10',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),add(multiply(cx,multiply(cx,multiply(cy,cz))),multiply(cx,multiply(multiply(cz,cx),cy)))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.9','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.11',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cx,multiply(cy,cz))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.10','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.12',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cx,multiply(cy,cz))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.11','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('1.0.0.13',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = multiply(cx,multiply(multiply(cy,cz),cx)) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.12','0.16.2.0',theory(equality)]),
% 1.41/1.80 [pos('L.2','L')]).
% 1.41/1.80 cnf('1.0.0.14',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = multiply(cx,add(additive_inverse(multiply(cx,multiply(cy,cz))),add(multiply(multiply(cx,cy),cz),multiply(cy,multiply(cz,cx))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.13','0.397.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('1.0.0.15',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = multiply(cx,add(multiply(cy,multiply(cz,cx)),add(multiply(multiply(cx,cy),cz),additive_inverse(multiply(cx,multiply(cy,cz)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.14','0.40.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('1.0.0.16',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = multiply(cx,add(additive_inverse(multiply(cx,multiply(cy,cz))),add(multiply(cy,multiply(cz,cx)),multiply(multiply(cx,cy),cz)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.15','0.34.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('1.0.0.17',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(multiply(cx,additive_inverse(multiply(cx,multiply(cy,cz)))),multiply(cx,add(multiply(cy,multiply(cz,cx)),multiply(multiply(cx,cy),cz)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.16','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('1.0.0.18',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),multiply(cx,add(multiply(cy,multiply(cz,cx)),multiply(multiply(cx,cy),cz)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.17','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1','L')]).
% 1.41/1.80 cnf('1.0.0.19',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cx,cy),cz)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.18','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('1.0.0.20',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(additive_inverse(multiply(cz,multiply(cx,cy))),add(multiply(multiply(cz,cx),cy),multiply(cx,multiply(cy,cz))))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.19','0.397.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.21',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(multiply(cx,multiply(cy,cz)),add(multiply(multiply(cz,cx),cy),additive_inverse(multiply(cz,multiply(cx,cy)))))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.20','0.40.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.22',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(additive_inverse(multiply(cz,multiply(cx,cy))),add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.21','0.34.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.23',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),add(multiply(cx,additive_inverse(multiply(cz,multiply(cx,cy)))),multiply(cx,add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.22','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.24',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,additive_inverse(multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.23','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('1.0.0.25',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(multiply(cx,additive_inverse(multiply(cz,multiply(cx,cy)))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.24','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('R','L')]).
% 1.41/1.80 cnf('1.0.0.26',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,add(multiply(cx,multiply(cy,cz)),multiply(multiply(cz,cx),cy)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.25','0.25.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.1','L')]).
% 1.41/1.80 cnf('1.0.0.27',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),add(multiply(cx,multiply(cx,multiply(cy,cz))),multiply(cx,multiply(multiply(cz,cx),cy)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.26','0.6.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.28',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cx,multiply(cy,cz))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.27','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2.2','L')]).
% 1.41/1.80 cnf('1.0.0.29',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cx,multiply(cy,cz))),add(additive_inverse(multiply(cx,multiply(cx,multiply(cy,cz)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.28','0.35.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('1.0.0.30',plain,
% 1.41/1.80 ( add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) ),
% 1.41/1.80 inference(reduction,[status(thm)],['1.0.0.29','0.16.2.0',theory(equality)]),
% 1.41/1.80 [pos('R.2','L')]).
% 1.41/1.80 cnf('1.0.0.31',plain,
% 1.41/1.80 ( $true ),
% 1.41/1.80 inference(trivial,[status(thm)],['1.0.0.30',theory(equality)]),
% 1.41/1.80 [conjecture_1]).
% 1.41/1.80
% 1.41/1.80 Proved Goals:
% 1.41/1.80 No. 1: multiply(multiply(cx,cy),multiply(cz,cx)) ?= multiply(cx,multiply(multiply(cy,cz),cx)) joined, current: add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy)))) = add(additive_inverse(multiply(cx,multiply(cz,multiply(cx,cy)))),add(multiply(cx,multiply(cy,multiply(cz,cx))),multiply(cx,multiply(multiply(cz,cx),cy))))
% 1.41/1.80 1 goal was specified, which was proved.
% 1.41/1.80 % SZS output end CNFRefutation
% 1.41/1.80 #END OF PROOF
% 1.41/1.80
% 1.41/1.80 Problem WALDMEISTER_31872_n022
% 1.41/1.80 CPs.gen 57371
% 1.41/1.80 CPs.reexp 0
% 1.41/1.80 Select 2500
% 1.41/1.80 R 382
% 1.41/1.80 E 15
% 1.41/1.80 vsize 6.7M
% 1.41/1.80 rss 4.1M
% 1.41/1.80 process.time 0.813s
% 1.41/1.80 wallclock.time 0.814s
% 1.41/1.80 status S
% 1.41/1.80
% 1.41/1.80
% 1.41/1.80 Waldmeister states: Goal proved.
% 1.41/1.80 % SZS status Unsatisfiable
%------------------------------------------------------------------------------